x^2-33^2=0

Solution for x^2-33^2=0 equation:

x^2-33^2=0

We add all the numbers together, and all the variables

x^2-1089=0

a = 1; b = 0; c = -1089;
Δ = b2-4ac
Δ = 02-4·1·(-1089)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-66}{2*1}=\frac{-66}{2}
=-33
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+66}{2*1}=\frac{66}{2}
=33
$